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Finding the Fourth Proportional to 429,874.56, 593,128.12 and 266,677.90

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Solution

The fourth proportional to 429,874.56, 593,128.12 and 266,677.90 is: 367,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,874.56 : 593,128.12 = 266,677.90 : x
  2. Step 2: Convert to fraction form
    429,874.56/593,128.12 = 266,677.90/x
  3. Step 3: Cross multiply
    429,874.56x = 593,128.12 × 266,677.90
  4. Step 4: Simplify right side
    429,874.56x = 158,174,161,472.55
  5. Step 5: Solve for x
    x = 158,174,161,472.55/429,874.56
  6. Step 6: Final answer
    x = 367,954.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.